全國中小學科展

二等獎

命中「助」定-間接互助模型的探討

每個人都有需要幫助的時候,當你遇到一個需要幫助的人,你會如何反應呢?有些人總是樂於助人,有些人選擇獨善其身,有些人則是會先觀察對方是什麼樣的人再做決定。這些不同的決定會交織成出什麼樣的故事呢? 我們假設社會上有三種人: 總是願意幫助別人的Cooperators、永遠不幫助別人的Defectors、依據人們過往的行為來決定是否幫助對方的Discriminators;由於cooperator和defector的行為是固定的,顯然discriminator的助人行為會有決定性的影響,因此我們從學者Berger的論文出發,修改discriminator決定是否幫助他人的判斷準則,架構了兩種間接互助模型並與Berger(2011)的工作做比較,觀察這些改變的影響,計算三種人的比例與彼此幫助率的關係。 Discriminator遇到不同的人會有不同的決定,隨著時間的推進,Berger在論文中已證明了他們的行為會趨於一致,並提出一種演化機制,探討三種族群之間的流動。那麼在我們提出的兩種模型中,discriminator的行為是不是也會趨於一致呢?因此我們證明了discriminator助人行為的收斂,也提出了一個新的演化機制,試圖用不同的觀點詮釋三種族群間的流動。 在我們的互助模型中,當使用Berger(2011)的演化機制時,演化行為只受discriminator佔全體比例的大小影響;然而若使用我們提出的演化機制,不論discriminator的比例為何,演化行為只會由 cooperator與defector 的比值決定。如此,我們便能刻劃出:可以使模型中所有的人至終演化成為 cooperators,理想中大同世界的範圍。

Potential Diagnosis of Cancerous Cells Through Utilising Optical Spectroscopy

Cancer is responsible for an estimated 9.6 million deaths in 2018. Deaths from cancer worldwide are projected to reach over 13 million in 2030. Thus, developing a device that has the capability to solve today’s toughest global challenge is crucial by utilizing a simple yet robust approach - “SEEING THE UNSEEABLE” through bold innovation. Although removing cancer is much more effective than either radiation or chemotherapy, when unseen residual cancer cells remain, they could grow back into tumour overtime. The reoccurrence of cancer contributes to a greater risk of death. Hence, launching a system that is able to distinguish between the cancerous cell and normal cell is ultimately essential to make sure no cancer is left behind during surgery. This robust optical system is established with quantitative approach by exploring the integration of an algorithm into the developed software. The end result of this device has the capability to provide users an accurate numerical pH value. The developed system is integrated with the smart IoT gateway capability whereby this powerful analytical device is incorporated with the real-time monitoring, data transformation and data analyzer. Harnessing the power of technology lets us fight cancer better. Each time a pathologist analyzes tissue after operation, it can take up 2 to 3 days because the tissue has to be frozen, thinly sliced, and stained so it can be viewed under the microscope during the process of biopsy. Thus, it is crucial to invent this Surgeons’ VisionMetric device which has an IoT-based microcontroller that is capable of providing real-time numerical value on-site.

Improving Particle Classification In Wimp Dark Matter Detection Using Neural Networks

In all experiments for detection of WIMP dark matter, it is essential to develop a classifier that can distinguish potential WIMP events from background radiation. Most often, clas- sifiers are developed manually, via physical modeling and empirical optimization. This is problematic for two reasons: it takes a great deal of time and effort away from developing the experiment, and the resulting classifiers often perform suboptimally (which means that a greater amount of expensive run time is required to obtain a confident experimental result). Machine learning has the potential to automate this and accelerate experimentation, and also to detect patterns that humans cannot. However, two major challenges, which are shared among several dark matter experiments, stand in the way: impure calibration data, which hinders training of models, and unpredictable physical dynamics within the detector itself. My objective was to develop a set of machine learning techniques that address these two problems, and thus more efficiently generate highly accurate classifiers. I was able to obtain raw data for two dark matter experiments which exhibit these challenges: the PICO-60 bubble chamber [2], and the DEAP-3600 liquid argon scintillator [1]. For each experiment, I developed and compared three general-purpose algorithms intended to resolve its inherent challenge (impurity and unpredictable dynamics, respectively). In PICO-60, background alpha and WIMP-like neutron calibration datasets are used for training; however, there is an impurity of 10% alphas in the neutron set. While a conventional classifier was developed (and is believed to be 100% accurate), machine learning in the form of a supervised neural network (NN) has also been previously explored, because of the benefits of automation. Unfortunately, it achieved a mean accuracy of only 80.2% – not usable as a practical replacement for conventional methods in future iterations of the experiment. In DEAP-3600, photons are absorbed by a wavelength shifting medium and re-emitted in an unpredictable direction, before being detected by one of 255 photomultiplier tubes (PMTs) around the spherical detector. The randomness severely limits the accuracy of conventional classifiers; in a simulation, the best so far removes 99.6% of alpha background, while also (undesirably) removing 91.0% of WIMP events. Because of physical limitations, simulated data is used for calibration, with 30 real-world experimental events available for testing. I have written a research paper [11] about my work on PICO-60, which has been approved by the PICO collaboration and pre-published at https://arxiv.org/abs/1811.11308. It is currently undergoing peer review for publication in Computer Physics Communications. All PICO researchers are listed on my paper for their work on the original PICO-60 experi- ment. They did not contribute to this study; I completed and documented it independently.

當機立「斷」—— 浮萍自裂脫險的機制與生態意義

浮萍在逆境下葉狀體會有分離的現象,本研究證實:浮萍透過葉狀體分離,增加逃離逆境的機率,提升族群生存率。此分離機制受到過氧化物質(H2O2)的調控,逆境下,浮萍母葉節處(node)的H2O2含量上升並誘導細胞死亡,進而造成連接構造斷裂,另能透過乙烯途徑活化纖維素分解酶使葉狀體分離。我們也發現青萍及紫萍具不同生存策略:青萍對H2O2的高敏感度使其能在逆境下快速分離,進而降低其葉狀體間的內聚力,更容易藉由風吹或水流加速逃離逆境;紫萍則對H2O2較不敏感且內聚力大,以較大的單一個體及對逆境的高耐受性來渡過危機。蛋白質含量極高的浮萍是蛋白質補給品的好原料,期待分離機制的深入研究能應用在浮萍種植上,使其快速分離提升產量,應對將到來的糧食危機。

圓周上跳躍回歸問題之研究

圓周上相異n個點,將圓周分割成n段弧,每次每個點沿逆時針方向變換成與下一點所成弧之中點,若某點經m次變換後回到初始點,則m的最小值以及m的所有可能值為何?我們發現,m的最小值為n+2。更進一步發現,m的充要條件為m≧n+2且m≠kn-1, kn, kn+1,其中k為正奇數。接著,我們將問題一般化,圓周上相異n個點,沿逆時針方向變換成與下一點所成弧之p:q處,若某點經m次變換後回到初始點,則m的最小值以及m的所有可能值為何?我們發現,若p, q∈N,(p,q)=1,當變換次數r足夠大時,此n個點的位置會收斂至圓周上n等分點,同時,此n個點會在變換T=n(p+q)/(n,p)次後再次收斂至相同的位置。在這篇研究中,我們推導出任意點Pi變換r次後的點之位置坐標Ai(r)的一般式,不失一般性,我們針對P0求出A0(r)的最小極端值Lr與最大極端值Ur,在變換次數r足夠大時,透過觀察Lr與Ur對應到圓周上的收斂位置所形成的區間是否涵蓋原點,可預期P0變換r次後可否回歸。此外,我們也針對n個點具特殊初始位置座標來研究其回歸性質。

The critical role of the first discovered detached pharynges during the successful predation of Penghu Oyster Leech

澎湖牡蠣養殖受扁形動物危害嚴重但缺乏相關研究。本研究首次採集活體澎湖蚵蛭Stylochus ( Imogine ) orientalis splendida Bock, 1913進行捕食行為研究。觀察澎湖蚵蛭捕食過程分為攻擊期、捕食期和消化期,並首次報導攻擊期中發現新型的離體咽。離體咽具負趨光性( P <0.01 ** )能朝向牡蠣殼內暗處移動,使其開閉殼頻率與死亡率增加。離體咽也顯著影響文蛤死亡率 ( P <0.01** ),20條以上離體咽即可導致文蛤死亡率 60% 以上,造成文蛤外套膜萎縮,且與數量呈高度正相關 ( R2 = 0.964 ),外套膜切片顯示離體咽可導致外套膜肌肉變細且形成許多空洞。經離體咽均質和硫酸銨沉澱法萃取蛋白質後,通過SDS蛋白質電泳比較澎湖蚵蛭離體咽、咽、與其他部位的粗萃物,分離出目標蛋白質,以MALDI-TOF質譜儀分析分子量約為10 kDa。證據顯示離體咽是蚵蛭成功捕食牡蠣的重要關鍵,亦是海洋扁蟲從未被報導過的新行為。

以蛋白質工程開發新穎酵素於高尿酸檢測及降解藥物

尿酸氧化酶參與嘌呤代謝,然人類尿酸氧化酶基因已退化,易使過量尿酸沉積於關節造成痛風,近年來微生物源尿酸氧化酶之酵素工程改良,逐漸被應用於尿酸檢測與降解藥物,因此具極高研發價值。 本研究針對微生物源尿酸氧化酶進行基因體探勘,篩選出抗輻射奇異球菌(Deinococcus radiodurans)及耐熱雙球桿菌(Thermobispora bispora)源尿酸氧化酶基因,以蛋白質異源表現與金屬螯合層析法純化取得重組尿酸氧化酶,進行酵素動力學、熱穩定分析、結構解析、金屬離子耐受性分析與尿酸檢測應用。在最佳反應條件下,抗輻射奇異球菌源酵素於30 ℃之Km與Kcat為679.03 μM, 30.33 s-1;耐熱雙球桿菌源酵素於70 ℃之Km與Kcat為191.31 μM, 12.85 s-1。此外,我們已解析耐熱雙球桿菌源尿酸氧化酶結構,發現其羧基端之特異性構型可能與熱穩定性有關。本研究以此兩種尿酸氧化酶為酵素工程改良標的,盼未來能研發作為快速篩檢與臨床治療之生物替代藥物。

Removal of Nutrients by Chlorella Vulgaris Microalgae in Bandar Abbas Municipal Wastewater

The entry of nutrients into the environment can cause the creation of eutrophication of aquatic ecosystems. One of the methods of removing nutrients from effluents is the use of algae. Algal purification is a new and inexpensive technology for this purpose. The present study investigated the rate of cell growth and nutrient removal of urban wastewater in Bandar Abbas in winter 2020 by the Chlorella vulgaris microalgae in the phycolab of Fisheries Research. Treatments with different dilutions (0%, 25%, 50% and 75%) were prepared; in addition, specific growth rate, cell density and removal efficiency of phosphate, nitrate, nitrite were examined during a 14 day period with initial constant density (1×10⁶ cells / ml ) of microalgae. The results indicated that 0% and 75% dilution had the highest and lowest cell densities (8.675×10⁶ and 56.633×10⁶), respectively; moreover, they had the specific growth rate (0.166 and 0.311). Furthermore, there was a significant difference between them (P≥ 0.05). The highest nitrate and nitrite removal efficiencies were -40.75 and -79.84 in effluent dilution of 50%; in addition, the lowest were 1.26 and -40.26 in dilution of 75% and 25% respectively. Phosphate had the highest removal efficiency at 0% dilution with a mean of -79.65 that showed a significant difference with the lowest at 25% dilution (P≥ 0.05). Therefore, high or low levels of nutrients can affect the removal efficiency and growth rate of microalgae.

探討眼睛對於不同顏色赫曼方格的視錯覺

我們的視覺能力是大腦將感官所觀察到的物體進行辨認,由於物體受到形狀、線條和顏色的變化,加上人們的生理、心理原因,而產生與實際不符合的視錯覺。為探討眼睛對不同顏色赫曼方格的視錯覺,我們以標準化的情境和RGB 色環中的對比色、相近色和互換色定義電腦上赫曼方格顏色,進行實驗。研究發現黑白配色所看到鬼影人數最多,而綠紅配色卻較少人看到鬼影。因此我們用側抑制現象與感光細胞進行討論、分析,得出傳統黑白赫曼方格,受到側抑制作用的影響最為明顯,而其餘顏色變因的赫曼方格,對於紅藍綠視錐細胞和桿狀細胞會有不同程度的刺激,產生更複雜生理錯覺。此外我們延伸去探討不同顏色的格子襯衫對於受試者消費行為的影響,研究發現生理視錯覺會影響受試者的消費行為,錯覺較少比較多人願意購買;除此之外社會觀感與年齡層皆會影響受試者的消費行為。

Using EEG Neuro-Feedback technology to control a prosthetic hand

Unaffordable healthcare and excessive plastic waste are both alarming issues that are plaguing modern society. Recent studies conducted by the World Health Organisation (WHO) report that about 15% of the world's population suffer from a form of disability, of which 50% of the demographic cannot afford adequate health care. Furthermore, 8 million metric tons of plastic annually enter our oceans (apart from the 150 metric tons that currently circulate our oceans!). In conjunction to the global plastic pollution crisis, unnecessary invasive surgery is currently being done on amputees. Many of these desperate patients are forced to pay exorbitant prices in order to live a normal life with bionic prosthetics. The solution… Project Limbs - an EEG, 3D printed prosthetic printed from recycled plastic. Signal processors will be implemented to build an affordable and easy-to-use ‘mind controlled prosthetic hand’, that requires no invasive surgery.